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Tju [1.3M]
2 years ago
5

Which of the following is the inverse of the function given below?

Mathematics
2 answers:
Mademuasel [1]2 years ago
6 0
Rearrange so x  is the subject:-

(im assuning  the f unction f(x)  = (x + 2) / 7):-


f(x) = (x + 2)/7

7f(x)  = x + 2

x = 7f(x) - 2

replace f(x) by  x and x by another function 

f = 7x - 2


Its D
forsale [732]2 years ago
3 0

Answer:

\Rightarrow f^{-1}(x)=\frac{7x-2}{7}

Step-by-step explanation:

We  have been given the function

f(x)=x+\frac{2}{7}

Let f(x)=y

y=x+\frac{2}{7}

Taking LCM we get

y=\frac{7x+2}{7}

After rearranging the terms we will find the value of x in terms of y.

x=\frac{7y-2}{7}

f^{-1}(y)=\frac{7y-2}{7}

\Rightarrow f^{-1}(x)=\frac{7x-2}{7}

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An economist conducted a study of the possible association between weekly income and weekly grocery expenditures. The particular
kolezko [41]

Answer:

42.1% of variation in the response is explained by the regression line

Step-by-step explanation:

Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.

If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.

There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.

This means, for this question we need to calculate the Coefficient of Determination.

Correlation coefficient = r = 0.649

Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %

This means that 42.1% of variation in the response is explained by the regression line.

5 0
3 years ago
Which of these numbers has the most factors? 6:<br> 17:<br> 25:<br> 36:
vovikov84 [41]

Answer:

36

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What does a equal -5(6a+21)=-15
borishaifa [10]
Step 1 : Simplify both sides
-5(6a+21)=-15
(-5)(6a)+(-5)(21)=-15
-30a-105=-15
Step 2 : Add 105 to both sides
-30a-105+105=-15+105
-30a=90
Step 3 : Divide both sides by -30
-30a=90
—————
-30 -30

a = -3
7 0
3 years ago
Write the following equation in the general form Ax + By + C = 0. 2x + y = 6
lesya [120]

Answer:

0.2x + y -6

Step-by-step explanation:

A and b are already there but to get c you just have to move 6 to the other side by subtracting it from the right side and adding it to the end of the left side.

8 0
2 years ago
-3 &lt; 5c + 7 &lt; 22<br> algebra
Alexus [3.1K]

Answer:=

Solution: -2<c<3

Interval Notation: (-2,3)

Step-by-step explanation:

-3<5c+7<22

-3<5c+7  :  c>-2

5c+7<22 : c<3

combine the intervals

c>-2 and c<3

-2<c<3

8 0
3 years ago
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